Regularized optimization (RO) reconstruction for oximetric EPR imaging

Journal of Magnetic Resonance

Volumn 194, Issue 2, 2008, Pages 212-221

  Tseitlin, Mark ^a   Czechowski, Tomasz ^a   Eaton, Sandra S ^a   Eaton, Gareth R ^a  

^a UNIVERSITY OF DENVER   (United States)

Author keywords

Electron paramagnetic resonance imaging; Filtered back projection; Oximetry; Regularized optimization

Indexed keywords

CANNING; CONCENTRATION (PROCESS); ELECTRON RESONANCE; NONMETALS; OXYGEN; PARAMAGNETIC RESONANCE; QUANTUM THEORY;

2-D IMAGES; ELECTRON PARAMAGNETIC RESONANCE IMAGING; EPR IMAGING; EXPERIMENTAL DATA; FILTERED BACK PROJECTION; NEW ALGORITHM; ONE-DIMENSIONAL; OXIMETRY; OXYGEN CONCENTRATIONS; REGULARIZED OPTIMIZATION; SHARP FEATURES; SINGLE-SPECIES; SPECTRAL DIMENSIONS; TIKHONOV REGULARIZATION;

ELECTRON SPIN RESONANCE SPECTROSCOPY;

OXYGEN;

ALGORITHM; ARTICLE; COMPUTER ASSISTED DIAGNOSIS; ELECTRON SPIN RESONANCE; METHODOLOGY; OXIMETRY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY;

ALGORITHMS; ELECTRON SPIN RESONANCE SPECTROSCOPY; IMAGE INTERPRETATION, COMPUTER-ASSISTED; OXIMETRY; OXYGEN; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 52949130203     PISSN: 10907807     EISSN: 10960856     Source Type: Journal    
DOI: 10.1016/j.jmr.2008.07.002     Document Type: Article

References (33)

1. Kuppusamy P., and Zweier J.L. Cardiac applications of EPR imaging. NMR Biomed. 17 (2004) 226-239
2. Matsumoto K., Yahiro T., Yamada K., and Utsumi H. In vivo EPR spectroscopic imaging for a liposomal drug delivery system. Magn. Reson. Med. 53 (2005) 1158-1165
3. Hirayama A., Nagase S., Ueda A., Oteki T., Takada K., Obara M., Inoue K., Hirayama K., and Koyama A. In vivo imaging of oxidative stress in ischemia-reperfusion renal injury using electron paramagnetic resonance. Am. J. Physiol. Renal Physiol. 288 (2005) F597-F603
4. Halpern H.J. Applications of in vivo EPR spectroscopy and imaging in cancer research. Biol. Magn. Reson. 18 (2003) 469-482
5. Subramanian S., Matsumoto K., Mitchell J.B., and Krishna M.C. Radio frequency continuous-wave and time-domain EPR imaging and Overhauser-enhanced magnetic resonance imaging of small animals: instrumental developments and comparison of relative merits for functional imaging. NMR Biomed. 17 (2004) 263-294
6. Subczynski W.K., and Swartz H.M. EPR oximetry in biological and model systems. Biol. Magn. Reson. 23 (2005) 229-282
7. Natterer F. Chichester, Ill-posedness and accuracy. The Mathematics of Computerized Tomography (2001), SIAM, Philadelpha Chapter 4
8. Herman G.T. Image Reconstruction from Projections: Fundamentals of Computerized Tomography (1980), Academic Press, New York
9. Hayner D.A., and Jenkins W.K. The missing cone problem in computer tomography. Adv. Comp. Vision Image Proc. 1 (1984) 83-144
10. Skilling J., and Bryan R.K. Maximum entropy image reconstruction: general algorithm. Mon. Not. Roy. Astr. Soc. 211 (1984) 111-124
11. Tseitlin M., Dhami A., Eaton S.S., and Eaton G.R. Comparison of maximum entropy and filtered back-projection methods to reconstruct rapid-scan EPR images. J. Magn. Res. 184 (2007) 157-168
12. Tikhonov A.N., and Arsenin V.Y. Methods of Solving Ill-Posed Problems (1986), Nauka, Moscow
13. Morozov V.A. Methods for Solving Incorrectly Posed Problems. (English Translation by A.B. Aries) (1984), Springer Verlag, New York
14. Engl H.W., and Gfrerer H. A posteriori parameter choice for general regularization methods for solving linear ill-posed problems. Appl. Numer. Math. 4 (1988) 395-417
15. Chiang Y.-W., Borbat P.P., and Freed J.H. Maximum entropy: a complement to Tikhonov regularization for determination of pair distance distributions by pulsed EPR. J. Magn. Reson. 177 (2005) 184-196
16. Chiang Y.-W., Borbat P.P., and Freed J.H. The determination of pair distance distributions by pulsed ESR using Tikhonov regularization. J. Magn. Reson. 172 (2005) 279-295
17. Calamante F., Gadian D.G., and Connelly A. Correct quantification of bolus-tracking MRI: improved characterization of the tissue residue function using Tikhonov regularization. Magn. Reson. Med. 50 (2003) 1237-1247
18. Hansen P.C. Analysis of ill-posed problems by means of the L-curve. SIAM Rev. 34 (1992) 561-580
19. Johnston P.R., and Gulrajani R.M. Selecting the corner in the L-curve approach to Tikhonov regularization. IEEE Trans. Biomed. Eng. 47 (2000) 1293-1296
20. Iwama N., Yoshida H., Takimoto H., Shen Y., Takamura S., and Tsukishima T. Phillips-Tikhonov regularization of plasma image reconstruction with the generalized cross validation. Appl. Phys. Lett. 54 (1989) 502-504
21. Golub G., Heath M., and Wahaba G. Generalized cross-validation as a method for choosing a good ridge parameter. Technometrics 21 (1979) 215-223
22. Yang W.Q., and Peng L. Image reconstruction algorithms for electrical capacitance tomography. Meas. Sci. Tech. 14 (2003) R1-R13
23. Stillman A.E., Levin D.N., Yang D.B., Marr R.B., and Lauterbur P.C. Back projection reconstruction of spectroscopic nmr images from incomplete sets of projections. J. Magn. Reson. 69 (1986) 168-175
24. Elas M., Ahn K.H., Parasca A., Barth E.D., Lee D., Haney C., and Halpern H.J. Electron paramagnetic resonance oxygen images correlate spatially and quantitatively with oxylite oxygen measurements. Clin. Cancer Res. 12 (2006) 4209-4217
25. Som S., Potter L.C., Ahmad R., and Kuppusamy P. A parametric approach to spectral-spatial imaging. J. Magn. Reson. 186 (2007) 1-10
26. Grinberg V.O., Smirnov A.I., Grinberg O.Y., Grinberg S.A., O'Hara J.A., and Swartz H.M. Practical conditions and limitations for high spatial resolution of multi-site EPR oximetry. Appl. Magn. Reson. 28 (2005) 69-78
27. Joshi J.P., Ballard J.R., Rinard G.A., Quine R.W., and Eaton G.R. Rapid-scan EPR with triangular scans and Fourier deconvolution to recover the slow-scan spectrum. J. Magn. Reson. 175 (2005) 44-51
28. Eaton S.S., and Eaton G.R. EPR Imaging. Spectroscopy 1 (1986) 32-35
29. Weiss G.H., Talbert A.J., and Brooks R.A. The use of phantom views to reduce CT streaks due to insufficient angular sampling. Phys. Med. Biol. 27 (1982) 1151-1162
30. Placidi G., Alecci M., and Sotgiu A. Angular space-domain interpolation for filtered back projection applied to regular and adaptively measured projections. J. Magn. Reson. B 110 (1996) 75-79
31. Ahn K.-H., and Halpern H.J. Comparison of local and global angular interpolation applied to spectral-spatial EPR image reconstruction. Med. Phys. 34 (2007) 1047-1052
32. Stoner J.W., Szymanski D., Eaton S.S., Quine R.W., Rinard G.A., and Eaton G.R. Direct-detected rapid-scan EPR at 250 MHz. J. Magn. Res. 170 (2004) 127-135
33. Matej S., Fessler J.A., and Kazantsev I.G. Iterative tomographic image reconstruction using Fourier-based forward and back-projectors. IEEE Trans. Med. Imag. 23 (2004) 401-412